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Market Selection of Constant Proportions Investment Strategies in Continuous Time

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Author Info

  • Jan PALCZEWSKI

    (University of Leeds and University of Warsaw)

  • Klaus Reiner SCHENK-HOPPE

    (University of Leeds)

Abstract

This paper studies the wealth dynamics of investors holding self-financing portfolios in a continuous-time model of a financial market. Asset prices are endogenously determined by market clearing. We derive results on the asymptotic dynamics of the wealth distribution and asset prices for constant proportions investment strategies. This study is the first step towards a theory of continuous-time asset pricing that combines concepts from mathematical nance and economics by drawing on evolutionary ideas.

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Bibliographic Info

Paper provided by Swiss Finance Institute in its series Swiss Finance Institute Research Paper Series with number 08-29.

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Length: 32 pages
Date of creation: Sep 2008
Date of revision:
Handle: RePEc:chf:rpseri:rp0829

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Web page: http://www.SwissFinanceInstitute.ch
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Related research

Keywords: evolutionary finance; wealth dynamics; endogenous asset prices; random dynamical systems.;

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References

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  1. Evan Gatev & William N. Goetzmann & K. Geert Rouwenhorst, 1998. "Pairs Trading: Performance of a Relative Value Arbitrage Rule," Yale School of Management Working Papers ysm26, Yale School of Management.
  2. Evstigneev, Igor V. & Hens, Thorsten & Schenk-Hoppé, Klaus Reiner, 2005. "Globally Evolutionarily Stable Portfolio Rules," Discussion Papers 2005/17, Department of Business and Management Science, Norwegian School of Economics.
  3. Luenberger, David G., 1993. "A preference foundation for log mean-variance criteria in portfolio choice problems," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 887-906.
  4. Schenk-Hoppe, Klaus Reiner & Schmalfu[ss], Bjorn, 2001. "Random fixed points in a stochastic Solow growth model," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 19-30, September.
  5. Igor Evstigneev & Thorsten Hens & Klaus Schenk-Hoppé, 2006. "Evolutionary stable stock markets," Economic Theory, Springer, vol. 27(2), pages 449-468, January.
  6. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-68, October.
  7. Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2002. "Market Selection Of Financial Trading Strategies: Global Stability," Mathematical Finance, Wiley Blackwell, vol. 12(4), pages 329-339.
  8. Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2003. "Evolutionary Stability of Portfolio Rules in Incomplete Markets," Discussion Papers 03-03, University of Copenhagen. Department of Economics.
  9. Eckhard Platen, 2004. "A Benchmark Approach to Finance," Research Paper Series 138, Quantitative Finance Research Centre, University of Technology, Sydney.
  10. Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2008. "Evolutionary Finance," Swiss Finance Institute Research Paper Series 08-14, Swiss Finance Institute.
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Cited by:
  1. Palczewski, Jan & Schenk-Hoppé, Klaus Reiner, 2010. "From discrete to continuous time evolutionary finance models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 913-931, May.

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